What is the tangent of y=(2x+1)/(x+2),(1,1) ?

The tangent of y=(2x+1)/(x+2),(1,1) is y= 1/3 x+2/3

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tangent of y=(2x+1)/(x+2),(1,1)

tangent of

y = \frac{2 x + 1}{x + 2}, (1, 1)

y = \frac{1}{3} x + \frac{2}{3}

Solution steps

Find the slope of

y = \frac{2 x + 1}{x + 2} : \frac{d y}{d x} = \frac{3}{( x + 2 ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{1}{3}

Find the line with slope m=

\frac{1}{3}

and passing through

(1, 1) : y = \frac{1}{3} x + \frac{2}{3}

y = \frac{1}{3} x + \frac{2}{3}

What is the tangent of y=(2x+1)/(x+2),(1,1) ?
The tangent of y=(2x+1)/(x+2),(1,1) is y= 1/3 x+2/3